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LCM of 763, 944, 336, 955

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 763, 944, 336, 955 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 763, 944, 336, 955. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 763,944,336,955

Given numbers are 763,944,336,955

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 763,944,336,955 is 2063579280.

Find LCM of 763,944,336,955 with Prime Factorization


2 763, 944, 336, 955
2 763, 472, 168, 955
2 763, 236, 84, 955
2 763, 118, 42, 955
7 763, 59, 21, 955
109, 59, 3, 955

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 7 x 109 x 59 x 3 x 955 = 2063579280

Therefore, the lowest common multiple of 763,944,336,955 is 2063579280.

LCM Formula to Find Lowest Common Multiple of 763,944,336,955

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

763 x 944 x 336 x 955 = 231120879360

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

763 : 1, 7, 109, 763

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

955 : 1, 5, 191, 955

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,944,336,955, is 1.

Now, the common factors can be found like this.

763:7x 109

944:2x 2x 2x 2x 59

336:2x 2x 2x 2x 3x 7

955:5x 191

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 7 = 112

Therefore, the value for common factors is 112.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 231120879360/(1x112)

LCM = 231120879360/112

LCM = 2063579280

Thus, we can understand that the LCM of 763,944,336,955 is 2063579280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 763, 944, 336, 955

1. What is the LCM of 763, 944, 336, 955?

Answer: LCM of 763, 944, 336, 955 is 2063579280.

2. How to calculate the LCM of 763, 944, 336, 955?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 763, 944, 336, 955.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.